Highest Common Factor of 8045, 3890 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8045, 3890 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8045, 3890 is 5 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8045, 3890 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8045, 3890 is 5.
HCF(8045, 3890) = 5
HCF of 8045, 3890 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8045, 3890 is 5.
Highest Common Factor of 8045,3890 is 5
Step 1: Since 8045 > 3890, we apply the division lemma to 8045 and 3890, to get
8045 = 3890 x 2 + 265
Step 2: Since the reminder 3890 ≠ 0, we apply division lemma to 265 and 3890, to get
3890 = 265 x 14 + 180
Step 3: We consider the new divisor 265 and the new remainder 180, and apply the division lemma to get
265 = 180 x 1 + 85
We consider the new divisor 180 and the new remainder 85,and apply the division lemma to get
180 = 85 x 2 + 10
We consider the new divisor 85 and the new remainder 10,and apply the division lemma to get
85 = 10 x 8 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8045 and 3890 is 5
Notice that 5 = HCF(10,5) = HCF(85,10) = HCF(180,85) = HCF(265,180) = HCF(3890,265) = HCF(8045,3890) .
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Frequently Asked Questions on HCF of 8045, 3890 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8045, 3890?
Answer: HCF of 8045, 3890 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8045, 3890 using Euclid's Algorithm?
Answer: For arbitrary numbers 8045, 3890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.